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Finding the Fourth Proportional to 37,026.96, 51,097.15 and 20,031.17

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Solution

The fourth proportional to 37,026.96, 51,097.15 and 20,031.17 is: 27,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,026.96 : 51,097.15 = 20,031.17 : x
  2. Step 2: Convert to fraction form
    37,026.96/51,097.15 = 20,031.17/x
  3. Step 3: Cross multiply
    37,026.96x = 51,097.15 × 20,031.17
  4. Step 4: Simplify right side
    37,026.96x = 1,023,535,698.17
  5. Step 5: Solve for x
    x = 1,023,535,698.17/37,026.96
  6. Step 6: Final answer
    x = 27,642.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.